Two Dimensional Mathematical Model
of Unsteady Groundwater Flow through
Non – homogeneous and Anisotropic Medium Using
the Finite Difference Method, control Volume Approach
Abstract
Unsteady flow through non - homogeneous and anisotropic porous media can be modeled by a partial
differential equation.' This-equation cannot be solved analytically. Hence, numerical methods. such as the finite
element and the finite difference methods might be employed.
In this study a mathematical model has been developed using the fully implicit finite difference method with
control volume approach. The discretized non - linear equations have been solved by the line by line sweeping
method with thomas algorithm in four directions. The model has shown a very good convergence, accuracy and
consistency' The accuracy of the model h-as been approved by a comparative study with the exact analytical
solutions of some well known problems.
. (1992). Two Dimensional Mathematical Model
of Unsteady Groundwater Flow through
Non – homogeneous and Anisotropic Medium Using
the Finite Difference Method, control Volume Approach. (e26092). University College of Engineering, 52(0), e26092
MLA
. "Two Dimensional Mathematical Model
of Unsteady Groundwater Flow through
Non – homogeneous and Anisotropic Medium Using
the Finite Difference Method, control Volume Approach" .e26092 , University College of Engineering, 52, 0, 1992, e26092.
HARVARD
. (1992). 'Two Dimensional Mathematical Model
of Unsteady Groundwater Flow through
Non – homogeneous and Anisotropic Medium Using
the Finite Difference Method, control Volume Approach', University College of Engineering, 52(0), e26092.
CHICAGO
, "Two Dimensional Mathematical Model
of Unsteady Groundwater Flow through
Non – homogeneous and Anisotropic Medium Using
the Finite Difference Method, control Volume Approach," University College of Engineering, 52 0 (1992): e26092,
VANCOUVER
. Two Dimensional Mathematical Model
of Unsteady Groundwater Flow through
Non – homogeneous and Anisotropic Medium Using
the Finite Difference Method, control Volume Approach. University College of Engineering. 1992;52(0):e26092 (In Persian).
